21.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (/ a (- (acos a))) 0.038 * * [simplify]: iteration 0: 4 enodes 0.038 * * [simplify]: iteration complete: 4 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.038 * * [simplify]: Extracting #1: cost 3 inf + 0 0.038 * * [simplify]: Extracting #2: cost 3 inf + 1 0.038 * * [simplify]: Extracting #3: cost 0 inf + 11 0.038 * [simplify]: Simplified to: (/ a (- (acos a))) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.054 * [taylor]: Taking taylor expansion of -1 in a 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (acos a) in a 0.060 * [backup-simplify]: Simplify (acos a) into (acos a) 0.060 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.060 * [taylor]: Taking taylor expansion of -1 in a 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.060 * [taylor]: Taking taylor expansion of a in a 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (acos a) in a 0.060 * [backup-simplify]: Simplify (acos a) into (acos a) 0.060 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.060 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.060 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.060 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.061 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.072 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.072 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.072 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.072 * [taylor]: Taking taylor expansion of -1 in a 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.072 * [taylor]: Taking taylor expansion of a in a 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.073 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.073 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.073 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.073 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.073 * [taylor]: Taking taylor expansion of -1 in a 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.074 * [taylor]: Taking taylor expansion of a in a 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.074 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.074 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.074 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.075 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.089 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.089 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.089 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.089 * [taylor]: Taking taylor expansion of a in a 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.090 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.090 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.090 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.090 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.090 * [taylor]: Taking taylor expansion of a in a 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.091 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.091 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.091 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.092 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.105 * * * [progress]: simplifying candidates 0.106 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.107 * * [simplify]: iteration 0: 96 enodes 0.124 * * [simplify]: iteration 1: 173 enodes 0.169 * * [simplify]: iteration 2: 466 enodes 0.370 * * [simplify]: iteration 3: 2093 enodes 1.140 * * [simplify]: iteration complete: 5000 enodes 1.141 * * [simplify]: Extracting #0: cost 65 inf + 0 1.143 * * [simplify]: Extracting #1: cost 663 inf + 5 1.150 * * [simplify]: Extracting #2: cost 1308 inf + 415 1.161 * * [simplify]: Extracting #3: cost 640 inf + 6918 1.168 * * [simplify]: Extracting #4: cost 41 inf + 11192 1.173 * * [simplify]: Extracting #5: cost 4 inf + 11512 1.178 * * [simplify]: Extracting #6: cost 0 inf + 11536 1.183 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (/ (sqrt (- (acos a))) (cbrt a))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (cbrt a) (/ (* (- (cbrt (acos a))) (cbrt (acos a))) (cbrt a))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (/ (sqrt a) (cbrt (acos a))) (- (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (- (/ (acos a) (sqrt a))) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.184 * * * [progress]: adding candidates to table 1.409 * * [progress]: iteration 2 / 4 1.409 * * * [progress]: picking best candidate 1.436 * * * * [pick]: Picked # 1.436 * * * [progress]: localizing error 1.446 * * * [progress]: generating rewritten candidates 1.446 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.454 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.455 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.460 * * * [progress]: generating series expansions 1.460 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.460 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 1.460 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.460 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.460 * [taylor]: Taking taylor expansion of -1 in a 1.460 * [backup-simplify]: Simplify -1 into -1 1.460 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.460 * [taylor]: Taking taylor expansion of a in a 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [taylor]: Taking taylor expansion of (acos a) in a 1.460 * [backup-simplify]: Simplify (acos a) into (acos a) 1.460 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.460 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.460 * [taylor]: Taking taylor expansion of -1 in a 1.460 * [backup-simplify]: Simplify -1 into -1 1.460 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.460 * [taylor]: Taking taylor expansion of a in a 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [taylor]: Taking taylor expansion of (acos a) in a 1.461 * [backup-simplify]: Simplify (acos a) into (acos a) 1.461 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.461 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.461 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.461 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.464 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.466 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.469 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 1.469 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.469 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.469 * [taylor]: Taking taylor expansion of -1 in a 1.469 * [backup-simplify]: Simplify -1 into -1 1.469 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.469 * [taylor]: Taking taylor expansion of a in a 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.469 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.469 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.470 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.470 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.470 * [taylor]: Taking taylor expansion of -1 in a 1.470 * [backup-simplify]: Simplify -1 into -1 1.470 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.470 * [taylor]: Taking taylor expansion of a in a 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.470 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.470 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.470 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.470 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.471 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.472 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.476 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.479 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 1.479 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.479 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.479 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.479 * [taylor]: Taking taylor expansion of a in a 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.479 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.479 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.479 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.480 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.480 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.480 * [taylor]: Taking taylor expansion of a in a 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.480 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.480 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.480 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.480 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.488 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.488 * [backup-simplify]: Simplify (expm1 (/ a (- (acos a)))) into (expm1 (* -1 (/ a (acos a)))) 1.488 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 1.488 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.489 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.489 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.489 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.489 * [taylor]: Taking taylor expansion of -1 in a 1.489 * [backup-simplify]: Simplify -1 into -1 1.489 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.489 * [taylor]: Taking taylor expansion of a in a 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (acos a) in a 1.489 * [backup-simplify]: Simplify (acos a) into (acos a) 1.489 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.489 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.489 * [backup-simplify]: Simplify (exp 0) into 1 1.489 * [taylor]: Taking taylor expansion of 1 in a 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.489 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.489 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.489 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.489 * [taylor]: Taking taylor expansion of -1 in a 1.489 * [backup-simplify]: Simplify -1 into -1 1.489 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.489 * [taylor]: Taking taylor expansion of a in a 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (acos a) in a 1.489 * [backup-simplify]: Simplify (acos a) into (acos a) 1.489 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.489 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.489 * [backup-simplify]: Simplify (exp 0) into 1 1.489 * [taylor]: Taking taylor expansion of 1 in a 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (- 1) into -1 1.490 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 1.490 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 1.491 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.491 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.491 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.492 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 1.492 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.495 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.496 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.497 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 1.497 * [backup-simplify]: Simplify (expm1 (/ (/ 1 a) (- (acos (/ 1 a))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 1.497 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 1.497 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.497 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.497 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.497 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.497 * [taylor]: Taking taylor expansion of -1 in a 1.497 * [backup-simplify]: Simplify -1 into -1 1.497 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.497 * [taylor]: Taking taylor expansion of a in a 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.498 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.498 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.498 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.498 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.499 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.499 * [taylor]: Taking taylor expansion of 1 in a 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.499 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.499 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.499 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.499 * [taylor]: Taking taylor expansion of -1 in a 1.499 * [backup-simplify]: Simplify -1 into -1 1.499 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.499 * [taylor]: Taking taylor expansion of a in a 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.499 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.499 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.500 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.500 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.500 * [taylor]: Taking taylor expansion of 1 in a 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (- 1) into -1 1.501 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.501 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 1.505 * [backup-simplify]: Simplify (expm1 (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 1.505 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 1.505 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.505 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.505 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.505 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.505 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.505 * [taylor]: Taking taylor expansion of a in a 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.505 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.505 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.506 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.506 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.506 * [taylor]: Taking taylor expansion of 1 in a 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.506 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.506 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.506 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.506 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.506 * [taylor]: Taking taylor expansion of a in a 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.506 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.506 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.506 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.507 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.507 * [taylor]: Taking taylor expansion of 1 in a 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (- 1) into -1 1.507 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.507 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 1.510 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.510 * [backup-simplify]: Simplify (log1p (expm1 (/ a (- (acos a))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 1.510 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 1.510 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 1.510 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 1.510 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 1.510 * [taylor]: Taking taylor expansion of 1 in a 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.510 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.511 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.511 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.511 * [taylor]: Taking taylor expansion of -1 in a 1.511 * [backup-simplify]: Simplify -1 into -1 1.511 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.511 * [taylor]: Taking taylor expansion of a in a 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [taylor]: Taking taylor expansion of (acos a) in a 1.511 * [backup-simplify]: Simplify (acos a) into (acos a) 1.511 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.511 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.511 * [backup-simplify]: Simplify (exp 0) into 1 1.511 * [taylor]: Taking taylor expansion of 1 in a 1.511 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (- 1) into -1 1.515 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (log 1) into 0 1.516 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 1.516 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 1.516 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 1.516 * [taylor]: Taking taylor expansion of 1 in a 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.516 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.516 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.516 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.516 * [taylor]: Taking taylor expansion of -1 in a 1.516 * [backup-simplify]: Simplify -1 into -1 1.516 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.516 * [taylor]: Taking taylor expansion of a in a 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [taylor]: Taking taylor expansion of (acos a) in a 1.516 * [backup-simplify]: Simplify (acos a) into (acos a) 1.516 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.517 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.517 * [backup-simplify]: Simplify (exp 0) into 1 1.517 * [taylor]: Taking taylor expansion of 1 in a 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (- 1) into -1 1.517 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.517 * [backup-simplify]: Simplify (+ 1 0) into 1 1.518 * [backup-simplify]: Simplify (log 1) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 1.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 1.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 1.519 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.519 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.520 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.520 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.523 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.524 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.525 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.528 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 1.528 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 1.531 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.535 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 1.535 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 1.542 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.550 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 1.551 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 1.557 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.565 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 1.566 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 1.575 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.575 * [backup-simplify]: Simplify (log1p (expm1 (/ (/ 1 a) (- (acos (/ 1 a)))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 1.575 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 1.575 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.575 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 1.575 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.575 * [taylor]: Taking taylor expansion of 1 in a 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.575 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.575 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.575 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.575 * [taylor]: Taking taylor expansion of -1 in a 1.575 * [backup-simplify]: Simplify -1 into -1 1.575 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.576 * [taylor]: Taking taylor expansion of a in a 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.576 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.576 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.576 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.576 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.576 * [taylor]: Taking taylor expansion of 1 in a 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (- 1) into -1 1.576 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.577 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.577 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 1.577 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.577 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 1.577 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.577 * [taylor]: Taking taylor expansion of 1 in a 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.577 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.577 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.577 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.577 * [taylor]: Taking taylor expansion of -1 in a 1.577 * [backup-simplify]: Simplify -1 into -1 1.577 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.577 * [taylor]: Taking taylor expansion of a in a 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.577 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.577 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.578 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.578 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.578 * [taylor]: Taking taylor expansion of 1 in a 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (- 1) into -1 1.578 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.578 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.578 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 1.578 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 1.608 * [backup-simplify]: Simplify (log1p (expm1 (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 1.608 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 1.608 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.608 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 1.608 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.608 * [taylor]: Taking taylor expansion of 1 in a 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.608 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.608 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.608 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.608 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.608 * [taylor]: Taking taylor expansion of a in a 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.608 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.608 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.609 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.609 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.609 * [taylor]: Taking taylor expansion of 1 in a 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (- 1) into -1 1.609 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.609 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.609 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 1.609 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.609 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 1.609 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.609 * [taylor]: Taking taylor expansion of 1 in a 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.609 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.609 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.609 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.609 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.609 * [taylor]: Taking taylor expansion of a in a 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.610 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.610 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.610 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.610 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.610 * [taylor]: Taking taylor expansion of 1 in a 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (- 1) into -1 1.610 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.611 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.611 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 1.611 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 1.644 * * * [progress]: simplifying candidates 1.646 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (exp (/ a (- (acos a)))) (expm1 (expm1 (/ a (- (acos a))))) (log1p (expm1 (/ a (- (acos a))))) (log (expm1 (/ a (- (acos a))))) (exp (expm1 (/ a (- (acos a))))) (* (cbrt (expm1 (/ a (- (acos a))))) (cbrt (expm1 (/ a (- (acos a)))))) (cbrt (expm1 (/ a (- (acos a))))) (* (* (expm1 (/ a (- (acos a)))) (expm1 (/ a (- (acos a))))) (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (+ 1 (expm1 (/ a (- (acos a))))) (expm1 (log1p (expm1 (/ a (- (acos a)))))) (log1p (log1p (expm1 (/ a (- (acos a)))))) (log (log1p (expm1 (/ a (- (acos a)))))) (exp (log1p (expm1 (/ a (- (acos a)))))) (* (cbrt (log1p (expm1 (/ a (- (acos a)))))) (cbrt (log1p (expm1 (/ a (- (acos a))))))) (cbrt (log1p (expm1 (/ a (- (acos a)))))) (* (* (log1p (expm1 (/ a (- (acos a))))) (log1p (expm1 (/ a (- (acos a)))))) (log1p (expm1 (/ a (- (acos a)))))) (sqrt (log1p (expm1 (/ a (- (acos a)))))) (sqrt (log1p (expm1 (/ a (- (acos a)))))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) (- (exp (* -1 (/ a (acos a)))) 1) (- (exp (* -1 (/ a (acos a)))) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 1.648 * * [simplify]: iteration 0: 131 enodes 1.696 * * [simplify]: iteration 1: 253 enodes 1.787 * * [simplify]: iteration 2: 910 enodes 2.087 * * [simplify]: iteration complete: 5000 enodes 2.087 * * [simplify]: Extracting #0: cost 76 inf + 0 2.088 * * [simplify]: Extracting #1: cost 443 inf + 11 2.091 * * [simplify]: Extracting #2: cost 990 inf + 698 2.097 * * [simplify]: Extracting #3: cost 1562 inf + 4952 2.105 * * [simplify]: Extracting #4: cost 693 inf + 12161 2.113 * * [simplify]: Extracting #5: cost 251 inf + 14676 2.121 * * [simplify]: Extracting #6: cost 5 inf + 16376 2.134 * * [simplify]: Extracting #7: cost 0 inf + 16406 2.142 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (pow a 3) (pow (- (acos a)) 3)) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (- (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (cbrt a) (sqrt (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (/ (sqrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (/ (sqrt a) (cbrt (acos a))) (cbrt (acos a))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (/ (/ a (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (- (/ (acos a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (exp (/ a (- (acos a)))) (expm1 (expm1 (/ a (- (acos a))))) (/ a (- (acos a))) (log (expm1 (/ a (- (acos a))))) (exp (expm1 (/ a (- (acos a))))) (* (cbrt (expm1 (/ a (- (acos a))))) (cbrt (expm1 (/ a (- (acos a)))))) (cbrt (expm1 (/ a (- (acos a))))) (pow (expm1 (/ a (- (acos a)))) 3) (sqrt (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (+ (expm1 (/ a (- (acos a)))) 1) (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (fma (/ (* a a) (pow (acos a) 2)) 1/2 (- (fma 1/6 (/ (pow a 3) (pow (acos a) 3)) (/ a (acos a))))) (expm1 (- (/ a (acos a)))) (expm1 (- (/ a (acos a)))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 2.143 * * * [progress]: adding candidates to table 2.470 * * [progress]: iteration 3 / 4 2.470 * * * [progress]: picking best candidate 2.504 * * * * [pick]: Picked # 2.504 * * * [progress]: localizing error 2.524 * * * [progress]: generating rewritten candidates 2.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.542 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.553 * * * [progress]: generating series expansions 2.553 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.553 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 2.553 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.554 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.554 * [taylor]: Taking taylor expansion of -1 in a 2.554 * [backup-simplify]: Simplify -1 into -1 2.554 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.554 * [taylor]: Taking taylor expansion of a in a 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [taylor]: Taking taylor expansion of (acos a) in a 2.554 * [backup-simplify]: Simplify (acos a) into (acos a) 2.554 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.554 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.554 * [taylor]: Taking taylor expansion of -1 in a 2.554 * [backup-simplify]: Simplify -1 into -1 2.554 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.554 * [taylor]: Taking taylor expansion of a in a 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [taylor]: Taking taylor expansion of (acos a) in a 2.554 * [backup-simplify]: Simplify (acos a) into (acos a) 2.554 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.554 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.555 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.555 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.556 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.567 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 2.568 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.568 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.568 * [taylor]: Taking taylor expansion of -1 in a 2.568 * [backup-simplify]: Simplify -1 into -1 2.568 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.568 * [taylor]: Taking taylor expansion of a in a 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.568 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.568 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.568 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.569 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.569 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.569 * [taylor]: Taking taylor expansion of -1 in a 2.569 * [backup-simplify]: Simplify -1 into -1 2.569 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.569 * [taylor]: Taking taylor expansion of a in a 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.569 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.569 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.570 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.570 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.578 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.579 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.581 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.583 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.583 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 2.583 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.583 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.583 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.583 * [taylor]: Taking taylor expansion of a in a 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.583 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.583 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.584 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.584 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.584 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.584 * [taylor]: Taking taylor expansion of a in a 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.584 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.584 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.584 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.585 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.593 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.593 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 2.593 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 2.593 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.593 * [taylor]: Taking taylor expansion of (acos a) in a 2.593 * [backup-simplify]: Simplify (acos a) into (acos a) 2.593 * [taylor]: Taking taylor expansion of a in a 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.594 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.594 * [taylor]: Taking taylor expansion of (acos a) in a 2.594 * [backup-simplify]: Simplify (acos a) into (acos a) 2.594 * [taylor]: Taking taylor expansion of a in a 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.594 * [backup-simplify]: Simplify (acos a) into (acos a) 2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 2.605 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* a (acos (/ 1 a))) 2.605 * [approximate]: Taking taylor expansion of (* a (acos (/ 1 a))) in (a) around 0 2.605 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.605 * [taylor]: Taking taylor expansion of a in a 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.605 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.605 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.605 * [taylor]: Taking taylor expansion of a in a 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.605 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.606 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.607 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.613 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 2.615 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 2.615 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 2.615 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.615 * [taylor]: Taking taylor expansion of -1 in a 2.615 * [backup-simplify]: Simplify -1 into -1 2.615 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.615 * [taylor]: Taking taylor expansion of a in a 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.615 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.615 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.615 * [taylor]: Taking taylor expansion of -1 in a 2.615 * [backup-simplify]: Simplify -1 into -1 2.615 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.615 * [taylor]: Taking taylor expansion of a in a 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.615 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.615 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.615 * [backup-simplify]: Simplify (* -1 0) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.616 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 2.616 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 2.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 2.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.633 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos a) a)))) into (expm1 (* -1 (/ a (acos a)))) 2.633 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 2.633 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.633 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.633 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.633 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.633 * [taylor]: Taking taylor expansion of -1 in a 2.633 * [backup-simplify]: Simplify -1 into -1 2.633 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.633 * [taylor]: Taking taylor expansion of a in a 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [taylor]: Taking taylor expansion of (acos a) in a 2.633 * [backup-simplify]: Simplify (acos a) into (acos a) 2.633 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.633 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.633 * [backup-simplify]: Simplify (exp 0) into 1 2.633 * [taylor]: Taking taylor expansion of 1 in a 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.633 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.633 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.633 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.634 * [taylor]: Taking taylor expansion of -1 in a 2.634 * [backup-simplify]: Simplify -1 into -1 2.634 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.634 * [taylor]: Taking taylor expansion of a in a 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [taylor]: Taking taylor expansion of (acos a) in a 2.634 * [backup-simplify]: Simplify (acos a) into (acos a) 2.634 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.634 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.634 * [backup-simplify]: Simplify (exp 0) into 1 2.634 * [taylor]: Taking taylor expansion of 1 in a 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (- 1) into -1 2.635 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 2.635 * [backup-simplify]: Simplify (- 0) into 0 2.635 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 2.635 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 2.635 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.636 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.637 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 2.637 * [backup-simplify]: Simplify (- 0) into 0 2.637 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.637 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 2.637 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.639 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 2.639 * [backup-simplify]: Simplify (- 0) into 0 2.639 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.639 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.640 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 2.640 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 2.640 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 2.640 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.640 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.640 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.640 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.640 * [taylor]: Taking taylor expansion of -1 in a 2.640 * [backup-simplify]: Simplify -1 into -1 2.640 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.640 * [taylor]: Taking taylor expansion of a in a 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.640 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.640 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.641 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.641 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.641 * [taylor]: Taking taylor expansion of 1 in a 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.641 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.641 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.641 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.641 * [taylor]: Taking taylor expansion of -1 in a 2.641 * [backup-simplify]: Simplify -1 into -1 2.641 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.641 * [taylor]: Taking taylor expansion of a in a 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.641 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.641 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.642 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.642 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.642 * [taylor]: Taking taylor expansion of 1 in a 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [backup-simplify]: Simplify (- 1) into -1 2.642 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.642 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.643 * [backup-simplify]: Simplify (- 0) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (- 0) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (+ 0 0) into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (+ 0 0) into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (- 0) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (- 0) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 2.646 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a)))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 2.646 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 2.646 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.646 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.646 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.646 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.646 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.646 * [taylor]: Taking taylor expansion of a in a 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.646 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.646 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.646 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.646 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.646 * [taylor]: Taking taylor expansion of 1 in a 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.646 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.646 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.647 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.647 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.647 * [taylor]: Taking taylor expansion of a in a 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.647 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.647 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.647 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.647 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.647 * [taylor]: Taking taylor expansion of 1 in a 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (- 1) into -1 2.648 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.648 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.648 * [backup-simplify]: Simplify (- 0) into 0 2.648 * [backup-simplify]: Simplify (+ 0 0) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (- 0) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 2.651 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.651 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos a) a))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 2.651 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 2.651 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 2.651 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 2.651 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 2.651 * [taylor]: Taking taylor expansion of 1 in a 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.651 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.651 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.651 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.651 * [taylor]: Taking taylor expansion of -1 in a 2.651 * [backup-simplify]: Simplify -1 into -1 2.651 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.651 * [taylor]: Taking taylor expansion of a in a 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [taylor]: Taking taylor expansion of (acos a) in a 2.651 * [backup-simplify]: Simplify (acos a) into (acos a) 2.651 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.651 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.651 * [backup-simplify]: Simplify (exp 0) into 1 2.652 * [taylor]: Taking taylor expansion of 1 in a 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (- 1) into -1 2.652 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.652 * [backup-simplify]: Simplify (+ 1 0) into 1 2.653 * [backup-simplify]: Simplify (log 1) into 0 2.653 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 2.653 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 2.653 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 2.653 * [taylor]: Taking taylor expansion of 1 in a 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.653 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.653 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.653 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.653 * [taylor]: Taking taylor expansion of -1 in a 2.653 * [backup-simplify]: Simplify -1 into -1 2.653 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.653 * [taylor]: Taking taylor expansion of a in a 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [taylor]: Taking taylor expansion of (acos a) in a 2.653 * [backup-simplify]: Simplify (acos a) into (acos a) 2.653 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.653 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.653 * [backup-simplify]: Simplify (exp 0) into 1 2.653 * [taylor]: Taking taylor expansion of 1 in a 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (- 1) into -1 2.654 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.654 * [backup-simplify]: Simplify (+ 1 0) into 1 2.654 * [backup-simplify]: Simplify (log 1) into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 2.655 * [backup-simplify]: Simplify (- 0) into 0 2.655 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 2.655 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 2.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 2.655 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.655 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.656 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.656 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.657 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.660 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 2.660 * [backup-simplify]: Simplify (- 0) into 0 2.660 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.660 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.662 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.664 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 2.665 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 2.665 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 2.668 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.675 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 2.675 * [backup-simplify]: Simplify (- 0) into 0 2.675 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 2.676 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 2.685 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.696 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 2.696 * [backup-simplify]: Simplify (- 0) into 0 2.697 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 2.697 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 2.708 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 2.723 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 2.724 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 2.739 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.740 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 2.740 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 2.740 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 2.740 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 2.740 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 2.740 * [taylor]: Taking taylor expansion of 1 in a 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.740 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.740 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.740 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.740 * [taylor]: Taking taylor expansion of -1 in a 2.740 * [backup-simplify]: Simplify -1 into -1 2.740 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.741 * [taylor]: Taking taylor expansion of a in a 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.741 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.741 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.742 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.742 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.742 * [taylor]: Taking taylor expansion of 1 in a 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (- 1) into -1 2.742 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.743 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.743 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 2.743 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 2.743 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 2.743 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 2.743 * [taylor]: Taking taylor expansion of 1 in a 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.743 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.743 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.743 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.743 * [taylor]: Taking taylor expansion of -1 in a 2.743 * [backup-simplify]: Simplify -1 into -1 2.743 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.743 * [taylor]: Taking taylor expansion of a in a 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.744 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.744 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.744 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.744 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.745 * [taylor]: Taking taylor expansion of 1 in a 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (- 1) into -1 2.745 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.745 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.746 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 2.746 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 2.746 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 2.791 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 2.791 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 2.791 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 2.791 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 2.791 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 2.791 * [taylor]: Taking taylor expansion of 1 in a 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.791 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.791 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.791 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.791 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.791 * [taylor]: Taking taylor expansion of a in a 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.792 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.792 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.792 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.793 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.793 * [taylor]: Taking taylor expansion of 1 in a 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (- 1) into -1 2.793 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.793 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.794 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 2.794 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 2.794 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 2.794 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 2.794 * [taylor]: Taking taylor expansion of 1 in a 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.794 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.794 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.794 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.794 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.794 * [taylor]: Taking taylor expansion of a in a 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.794 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.795 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.795 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.795 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.795 * [taylor]: Taking taylor expansion of 1 in a 2.795 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (- 1) into -1 2.796 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.796 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.797 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 2.797 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.797 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (- 0) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (- 0) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 2.828 * * * [progress]: simplifying candidates 2.832 * [simplify]: Simplifying: (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (/ (* (* 1 1) 1) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (* (* (/ 1 (- (/ (acos a) a))) (/ 1 (- (/ (acos a) a)))) (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (- 1) (- (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (cbrt 1) (cbrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) 1))) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (cbrt 1) (- (cbrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (- (/ (cbrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (- (/ (sqrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (acos a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (- (/ (acos a) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 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(cbrt (acos a))))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (* (/ 1 (cbrt (acos a))) (/ (sqrt a) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (/ (sqrt (acos a)) (cbrt a))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (pow (acos a) 3) (pow a 3)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ PI (* a 2)) (/ (asin a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (sqrt (acos a)) (/ (sqrt (acos a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) 1 (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (exp (/ 1 (/ (- (acos a)) a))) (expm1 (expm1 (/ 1 (/ (- (acos a)) a)))) (/ 1 (/ (- (acos a)) a)) (log (expm1 (/ 1 (/ (- (acos a)) a)))) (exp (expm1 (/ 1 (/ (- (acos a)) a)))) (* (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a))))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (pow (expm1 (/ 1 (/ (- (acos a)) a))) 3) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (+ (expm1 (/ 1 (/ (- (acos a)) a))) 1) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (/ 1 (/ (- (acos a)) a)) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ (* (* a a) 1/2) (pow (acos a) 2)) (fma 1/6 (/ (pow a 3) (pow (acos a) 3)) (/ a (acos a)))) (expm1 (/ (- a) (acos a))) (expm1 (/ (- a) (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 3.925 * * * [progress]: adding candidates to table 4.599 * * [progress]: iteration 4 / 4 4.599 * * * [progress]: picking best candidate 4.640 * * * * [pick]: Picked # 4.640 * * * [progress]: localizing error 4.662 * * * [progress]: generating rewritten candidates 4.662 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 4.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.682 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.687 * * * [progress]: generating series expansions 4.687 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 4.687 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 4.687 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 4.687 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 4.687 * [taylor]: Taking taylor expansion of (acos a) in a 4.687 * [backup-simplify]: Simplify (acos a) into (acos a) 4.687 * [taylor]: Taking taylor expansion of a in a 4.687 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 4.688 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 4.688 * [taylor]: Taking taylor expansion of (acos a) in a 4.688 * [backup-simplify]: Simplify (acos a) into (acos a) 4.688 * [taylor]: Taking taylor expansion of a in a 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 4.688 * [backup-simplify]: Simplify (acos a) into (acos a) 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 4.701 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ 1 (/ 1 a))) into (* a (acos (/ 1 a))) 4.701 * [approximate]: Taking taylor expansion of (* a (acos (/ 1 a))) in (a) around 0 4.701 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.701 * [taylor]: Taking taylor expansion of a in a 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.702 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.702 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.702 * [taylor]: Taking taylor expansion of a in a 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.702 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.702 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.703 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 4.711 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 4.711 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 4.711 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 4.711 * [taylor]: Taking taylor expansion of -1 in a 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.711 * [taylor]: Taking taylor expansion of a in a 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.711 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.711 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 4.711 * [taylor]: Taking taylor expansion of -1 in a 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.711 * [taylor]: Taking taylor expansion of a in a 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.711 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.711 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.711 * [backup-simplify]: Simplify (* -1 0) into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.712 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 4.712 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 4.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 4.720 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 4.723 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 4.730 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.730 * [backup-simplify]: Simplify (/ 1 (- (* (acos a) (/ 1 a)))) into (* -1 (/ a (acos a))) 4.730 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.730 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.730 * [taylor]: Taking taylor expansion of -1 in a 4.730 * [backup-simplify]: Simplify -1 into -1 4.730 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.730 * [taylor]: Taking taylor expansion of a in a 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [taylor]: Taking taylor expansion of (acos a) in a 4.730 * [backup-simplify]: Simplify (acos a) into (acos a) 4.730 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.730 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.730 * [taylor]: Taking taylor expansion of -1 in a 4.730 * [backup-simplify]: Simplify -1 into -1 4.730 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.730 * [taylor]: Taking taylor expansion of a in a 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [taylor]: Taking taylor expansion of (acos a) in a 4.730 * [backup-simplify]: Simplify (acos a) into (acos a) 4.730 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.730 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.730 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.731 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.737 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))) into (/ -1 (* a (acos (/ 1 a)))) 4.737 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 4.737 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.737 * [taylor]: Taking taylor expansion of -1 in a 4.737 * [backup-simplify]: Simplify -1 into -1 4.737 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.737 * [taylor]: Taking taylor expansion of a in a 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.738 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.738 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.738 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.738 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.738 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.738 * [taylor]: Taking taylor expansion of -1 in a 4.738 * [backup-simplify]: Simplify -1 into -1 4.738 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.738 * [taylor]: Taking taylor expansion of a in a 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.738 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.738 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.739 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.739 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 4.739 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 4.741 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.741 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 4.743 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 4.745 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 4.748 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 4.751 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.752 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 4.752 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.752 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.752 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.752 * [taylor]: Taking taylor expansion of a in a 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.752 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.752 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.753 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.753 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.753 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.753 * [taylor]: Taking taylor expansion of a in a 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.753 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.753 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.753 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.754 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.754 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.755 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.757 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.768 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.768 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) into (expm1 (* -1 (/ a (acos a)))) 4.768 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 4.768 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 4.768 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 4.769 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 4.769 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.769 * [taylor]: Taking taylor expansion of -1 in a 4.769 * [backup-simplify]: Simplify -1 into -1 4.769 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.769 * [taylor]: Taking taylor expansion of a in a 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of (acos a) in a 4.769 * [backup-simplify]: Simplify (acos a) into (acos a) 4.769 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.769 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.769 * [backup-simplify]: Simplify (exp 0) into 1 4.769 * [taylor]: Taking taylor expansion of 1 in a 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 4.769 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 4.769 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 4.769 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.769 * [taylor]: Taking taylor expansion of -1 in a 4.769 * [backup-simplify]: Simplify -1 into -1 4.769 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.769 * [taylor]: Taking taylor expansion of a in a 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of (acos a) in a 4.769 * [backup-simplify]: Simplify (acos a) into (acos a) 4.769 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.770 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.770 * [backup-simplify]: Simplify (exp 0) into 1 4.770 * [taylor]: Taking taylor expansion of 1 in a 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (- 1) into -1 4.771 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 4.771 * [backup-simplify]: Simplify (- 0) into 0 4.771 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 4.771 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 4.772 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.773 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 4.773 * [backup-simplify]: Simplify (- 0) into 0 4.774 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 4.774 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 4.774 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.776 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 4.777 * [backup-simplify]: Simplify (- 0) into 0 4.777 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 4.777 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 4.778 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 4.778 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a)))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 4.778 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 4.778 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 4.778 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.778 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 4.778 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.778 * [taylor]: Taking taylor expansion of -1 in a 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.778 * [taylor]: Taking taylor expansion of a in a 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.779 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.779 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.779 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.779 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.779 * [taylor]: Taking taylor expansion of 1 in a 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 4.779 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.780 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 4.780 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.780 * [taylor]: Taking taylor expansion of -1 in a 4.780 * [backup-simplify]: Simplify -1 into -1 4.780 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.780 * [taylor]: Taking taylor expansion of a in a 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.780 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.780 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.780 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.781 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.781 * [taylor]: Taking taylor expansion of 1 in a 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (- 1) into -1 4.781 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.781 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 4.786 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a))))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 4.786 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 4.786 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 4.786 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.786 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 4.786 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.786 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.786 * [taylor]: Taking taylor expansion of a in a 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.786 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.786 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.787 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.787 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.787 * [taylor]: Taking taylor expansion of 1 in a 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 4.787 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.787 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 4.787 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.787 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.787 * [taylor]: Taking taylor expansion of a in a 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.787 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.788 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.788 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.788 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.788 * [taylor]: Taking taylor expansion of 1 in a 4.788 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (- 1) into -1 4.789 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.789 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.789 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (- 0) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (- 0) into 0 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 4.793 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.794 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 4.794 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 4.794 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 4.794 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 4.794 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 4.794 * [taylor]: Taking taylor expansion of 1 in a 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 4.794 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 4.794 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 4.794 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.794 * [taylor]: Taking taylor expansion of -1 in a 4.794 * [backup-simplify]: Simplify -1 into -1 4.794 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.794 * [taylor]: Taking taylor expansion of a in a 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [taylor]: Taking taylor expansion of (acos a) in a 4.794 * [backup-simplify]: Simplify (acos a) into (acos a) 4.794 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.794 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.794 * [backup-simplify]: Simplify (exp 0) into 1 4.794 * [taylor]: Taking taylor expansion of 1 in a 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (- 1) into -1 4.795 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.796 * [backup-simplify]: Simplify (+ 1 0) into 1 4.796 * [backup-simplify]: Simplify (log 1) into 0 4.796 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 4.796 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 4.796 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 4.796 * [taylor]: Taking taylor expansion of 1 in a 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 4.796 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 4.796 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 4.796 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.796 * [taylor]: Taking taylor expansion of -1 in a 4.796 * [backup-simplify]: Simplify -1 into -1 4.796 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.796 * [taylor]: Taking taylor expansion of a in a 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [taylor]: Taking taylor expansion of (acos a) in a 4.797 * [backup-simplify]: Simplify (acos a) into (acos a) 4.797 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.797 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.797 * [backup-simplify]: Simplify (exp 0) into 1 4.797 * [taylor]: Taking taylor expansion of 1 in a 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (- 1) into -1 4.798 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.798 * [backup-simplify]: Simplify (+ 1 0) into 1 4.798 * [backup-simplify]: Simplify (log 1) into 0 4.798 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 4.799 * [backup-simplify]: Simplify (- 0) into 0 4.799 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 4.799 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 4.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 4.800 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.800 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.800 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.801 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 4.802 * [backup-simplify]: Simplify (- 0) into 0 4.802 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 4.802 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 4.803 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.806 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 4.806 * [backup-simplify]: Simplify (- 0) into 0 4.806 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 4.807 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 4.809 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.813 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 4.813 * [backup-simplify]: Simplify (- 0) into 0 4.814 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 4.814 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 4.817 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.824 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 4.824 * [backup-simplify]: Simplify (- 0) into 0 4.824 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 4.825 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 4.830 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.837 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 4.837 * [backup-simplify]: Simplify (- 0) into 0 4.838 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 4.838 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 4.846 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.855 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 4.855 * [backup-simplify]: Simplify (- 0) into 0 4.855 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 4.855 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 4.867 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.868 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 4.868 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 4.868 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 4.868 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 4.868 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 4.868 * [taylor]: Taking taylor expansion of 1 in a 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 4.868 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.868 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 4.868 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.868 * [taylor]: Taking taylor expansion of -1 in a 4.868 * [backup-simplify]: Simplify -1 into -1 4.868 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.868 * [taylor]: Taking taylor expansion of a in a 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.869 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.869 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.869 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.869 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.869 * [taylor]: Taking taylor expansion of 1 in a 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (- 1) into -1 4.870 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.870 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.871 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 4.871 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 4.871 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 4.871 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 4.871 * [taylor]: Taking taylor expansion of 1 in a 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 4.871 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.871 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 4.871 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.871 * [taylor]: Taking taylor expansion of -1 in a 4.871 * [backup-simplify]: Simplify -1 into -1 4.871 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.871 * [taylor]: Taking taylor expansion of a in a 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.871 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.871 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.872 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.872 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.872 * [taylor]: Taking taylor expansion of 1 in a 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (- 1) into -1 4.873 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 4.873 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 4.873 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 4.873 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 4.874 * [backup-simplify]: Simplify (- 0) into 0 4.874 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (+ 0 0) into 0 4.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify (- 0) into 0 4.876 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (+ 0 0) into 0 4.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (- 0) into 0 4.880 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (+ 0 0) into 0 4.884 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (- 0) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (- 0) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 4.901 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify (- 0) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.914 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 4.915 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 4.915 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 4.915 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 4.915 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 4.915 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 4.915 * [taylor]: Taking taylor expansion of 1 in a 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 4.915 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.915 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 4.915 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.915 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.915 * [taylor]: Taking taylor expansion of a in a 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.915 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.915 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.916 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.916 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.916 * [taylor]: Taking taylor expansion of 1 in a 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (- 1) into -1 4.916 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.916 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.916 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 4.916 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 4.916 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 4.916 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 4.916 * [taylor]: Taking taylor expansion of 1 in a 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 4.916 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.916 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 4.916 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.916 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.917 * [taylor]: Taking taylor expansion of a in a 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.917 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.917 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.917 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.917 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.917 * [taylor]: Taking taylor expansion of 1 in a 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (- 1) into -1 4.918 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 4.918 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 4.918 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 4.918 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.918 * [backup-simplify]: Simplify (- 0) into 0 4.918 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (- 0) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify (- 0) into 0 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.924 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (- 0) into 0 4.924 * [backup-simplify]: Simplify (+ 0 0) into 0 4.925 * [backup-simplify]: Simplify (+ 0 0) into 0 4.928 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify (- 0) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (- 0) into 0 4.935 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 4.946 * * * [progress]: simplifying candidates 4.949 * [simplify]: Simplifying: (expm1 (* (acos a) (/ 1 a))) (log1p (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (acos a) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt 1) (sqrt a))) (* (acos a) (/ (sqrt 1) 1)) (* (acos a) (/ 1 (* (cbrt a) (cbrt a)))) (* (acos a) (/ 1 (sqrt a))) (* (acos a) (/ 1 1)) (* (acos a) 1) (* (acos a) 1) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (acos a) 1) (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (log1p (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (log (- (* (acos a) (/ 1 a))))) (- 0 (log (- (* (acos a) (/ 1 a))))) (- (log 1) (log (- (* (acos a) (/ 1 a))))) (log (/ 1 (- (* (acos a) (/ 1 a))))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (/ (* (* 1 1) 1) (* (* (- (* (acos a) (/ 1 a))) (- (* (acos a) (/ 1 a)))) (- (* (acos a) (/ 1 a))))) (* (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (* (* (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 (- (* (acos a) (/ 1 a))))) (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (cbrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (/ 1 a))))) (/ (cbrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (* (acos a) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (sqrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (* (acos a) (/ 1 a))) (cbrt 1)) (/ (- (* (acos a) (/ 1 a))) (sqrt 1)) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (- (acos a))) (/ 1 (- (* (acos a) 1))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (expm1 (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (exp (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (* (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (* (* (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (sqrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (sqrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (+ 1 (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (expm1 (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log1p (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (exp (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (* (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))))) (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (* (* (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (sqrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (sqrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) (- (exp (* -1 (/ a (acos a)))) 1) (- (exp (* -1 (/ a (acos a)))) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 4.952 * * [simplify]: iteration 0: 173 enodes 5.031 * * [simplify]: iteration 1: 403 enodes 5.697 * * [simplify]: iteration 2: 3602 enodes 10.495 * * [simplify]: iteration complete: 5000 enodes 10.495 * * [simplify]: Extracting #0: cost 52 inf + 0 10.497 * * [simplify]: Extracting #1: cost 748 inf + 3 10.505 * * [simplify]: Extracting #2: cost 1231 inf + 1152 10.514 * * [simplify]: Extracting #3: cost 447 inf + 6294 10.524 * * [simplify]: Extracting #4: cost 10 inf + 9668 10.533 * * [simplify]: Extracting #5: cost 0 inf + 9732 10.539 * * [simplify]: Extracting #6: cost 0 inf + 9729 10.543 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (pow (acos a) 3) (pow a 3)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (* (* (cbrt (/ 1 a)) (acos a)) (cbrt (/ 1 a))) (* (acos a) (sqrt (/ 1 a))) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (acos a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (acos a) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (/ (- (acos a)) a) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (/ 1 (/ (- (acos a)) a)) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ 1 (/ (- (acos a)) a)) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 -1 (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (exp (/ 1 (/ (- (acos a)) a))) (expm1 (expm1 (/ 1 (/ (- (acos a)) a)))) (/ 1 (/ (- (acos a)) a)) (log (expm1 (/ 1 (/ (- (acos a)) a)))) (exp (expm1 (/ 1 (/ (- (acos a)) a)))) (* (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a))))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (pow (expm1 (/ 1 (/ (- (acos a)) a))) 3) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (+ 1 (expm1 (/ 1 (/ (- (acos a)) a)))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (/ 1 (/ (- (acos a)) a)) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (fma 1/2 (/ (* a a) (pow (acos a) 2)) (- (fma (/ (pow a 3) (pow (acos a) 3)) 1/6 (/ a (acos a))))) (expm1 (/ (- a) (acos a))) (expm1 (/ (- a) (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 10.544 * * * [progress]: adding candidates to table 11.031 * [progress]: [Phase 3 of 3] Extracting. 11.031 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 11.032 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 11.032 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # #) 11.135 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # #) 11.203 * * * [regime]: Found split indices: #